Title page for etd-0210111-111403


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URN etd-0210111-111403
Author Hsyh-Jye Hsu
Author's Email Address alexbird99@hotmail.com
Statistics This thesis had been viewed 5065 times. Download 670 times.
Department Applied Mathematics
Year 2010
Semester 1
Degree Master
Type of Document
Language English
Title The spectral theory of vector-valued compact
disjointness preserving operators
Date of Defense 2011-01-17
Page Count 38
Keyword
  • Disjointness preserving operators
  • eigenvalue
  • spectrum
  • spectral theory
  • compact operators
  • Abstract Let X, Y be locally compact Hausdorff spaces. A linear operator T from C0(X,E) to C0(Y,F) is called disjointness preserving if coz(Tf)∩coz(Tg) = whenever coz(f)∩coz(g) = ∅. We discuss some cases on these compact disjointness preserving operators T and prove that if λ0 is a nonzero point of σ(T), then λ0 is an eigenvalue of T and
    we find a projection ∏: C0(X,E) →C0(X,E), such that for Y1 = ∏C0(X;E) and Y2 = (1-∏)C0(X;E), the operator T|Y1 -λ0 is a nilpotent and λ0-T|Y2 is invertible.
    Advisory Committee
  • Ying-Fen Lin - chair
  • Wei-Shih Du - co-chair
  • Jyh-Shyang Jeang - advisor
  • Ngai-Ching Wong - advisor
  • Files
  • etd-0210111-111403.pdf
  • indicate access worldwide
    Date of Submission 2011-02-10

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